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Finding the Third Proportional to 186,857 and 438,677

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Solution

The third proportional to 186,857 and 438,677 is: 1,029,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,857 : 438,677 = 438,677 : x
  2. Step 2: Convert to fraction form
    186,857/438,677 = 438,677/x
  3. Step 3: Cross multiply
    186,857x = 438,677 × 438,677
  4. Step 4: Simplify right side
    186,857x = 192,437,510,329
  5. Step 5: Solve for x
    x = 192,437,510,329/186,857
  6. Step 6: Final answer
    x = 1,029,865.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.